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Kuznetsov and Polishchuk provided a general algorithm to constructexceptional collections of maximal length for homogeneous varieties of typeA,B,C,D. We consider the case of the spinor tenfold and we prove that thecorresponding collection is full, i.e. it generates the whole derived categoryof coherent sheaves. As a step of the proof, we construct some resolutions ofhomogeneous vector bundles which might be of independent interest.

Fullness of the Kuznetsov-Polishchuk exceptional collection for the spinor tenfold